Oscillations of the flow parameters in the vicinity of a cylindrical vortex

In the modern literature, the oscillations of flow parameters have been investigated insufficiently; their connection with the fundamental solution of the Navier-Stokes equations has not been shown. Some types of vortical structures in a 2D steady incompressible flow were analyzed in [2]. Below, a nonlinear system of the Navier-Stokes equations was used for calculation of unsteady gas flow in the vicinity of a cylindrical vortex. The problem is set within the domain ${z\ge0}$ and the flow is shown to be oscillatory; the oscillations of pressure, density, and temperature were investigated. The distinctive feature of this computation method is that no finite-difference schemes are used. The method can be used on the condition that the gas is considered as a perfect one ($c_p/c_v=\gamma=\const$).